论文标题
通过非重叠原子电位模型描述的双原子分子慢电子的时间延迟
Time delay of slow electrons by a diatomic molecule described by non-overlapping atomic potentials model
论文作者
论文摘要
我们研究了非重叠原子电位模型框架中通过两原子分子对慢电子的弹性散射。分子连续波函数表示为平面波和两个球形S波的组合，由原子球的中心产生。该功能的渐近学决定了封闭形式的弹性电子散射的幅度。我们表明，这种振幅不能表示为一系列球形函数。因此，不可能直接使用通常的S-矩阵方法来确定非球靶标的散射阶段。我们表明，远离分子，连续波函数可以作为球形正交功能以外的其他扩展。该扩展的系数决定了非球体分子系统的分子散射阶段。在这种方法中，我们计算了由两个原子靶标散射的慢电子的WIGNER时间延迟。
We study the elastic scattering of slow electrons by two-atomic molecule in the frame of non-overlapping atomic potentials model. The molecular continuum wave function is represented as a combination of a plane wave and two spherical s-waves, generated by the centers of atomic spheres. The asymptotic of this function determines in closed form the amplitude of elastic electron scattering. We show that this amplitude cannot be represented as a series of spherical functions. Therefore, it is impossible to use straightly the usual S-matrix methods to determine the scattering phases for non-spherical targets. We show that far from molecule the continuum wave function can be presented as an expansion in other than spherical orthonormal functions. The coefficients of this expansion determine the molecular scattering phases for non-spherical molecular systems. In such an approach, we calculate the Wigner times delay for slow electron scattered by two-atomic target.
